0.999......
1.000...... are not "almost equal" ... they are EQUAL
proof 1)) 1/3 = 0.333......
3*1/3 = 0.333*3 but also 3*1/3 = 1
0.999.... = 1
proof 2)) let x = 0.999.....
10x = 9.999....
subtract the two equations.... 9x = 9 ... or x=1, but assumption 1, x=0.9999 ..... thus 0.999.... = 1 ....or if you like, 1.0000.....